Professor Leonard Courses

How to Solve Bernoulli Differential Equations

Explains how substitutions solve Bernoulli differential equations, with several worked examples.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

Solving Differential Equations with a Composition - Obvious Substitution

Learn to solve differential equations using an obvious substitution for compositions of functions.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Solving Homogeneous First Order Differential Equations

Practice solving homogeneous first-order differential equations by separation of variables, with a review of integration techniques.

• YouTube
• 1 hour 55 minutes
• Self-Paced
• Free Video

Substitutions for Homogeneous First Order Differential Equations

Learn to transform homogeneous first-order differential equations into separable equations using substitution.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Mixture Problems in Linear Differential Equations

Solve mixture problems by modeling them with linear first-order differential equations.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Solving Linear Differential Equations with an Integrating Factor

Learn to solve linear first-order differential equations using integrating factors, with worked examples and attention to conditions when dividing by x.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Introduction to Linear Differential Equations and Integrating Factors

Learn how integrating factors solve linear first-order differential equations, including the theory behind the technique.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Applications with Separable Equations - Differential Equations

Solve exponential growth and decay application problems using separable differential equations.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video

Separable Equations with Initial Values

Learn to solve separable differential equations with initial values using separation of variables.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Separable Differential Equations

Learn to solve separable differential equations by separation of variables through numerous worked examples.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

Applications of Slope Fields - Differential Equations

Apply slope fields to real-life situations to model solutions and examine long-term trends in differential equations.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Solving Basic Differential Equations with Integration

Learn to solve basic differential equations by applying integration techniques.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Introduction to Initial Value Problems - Differential Equations

Explore how initial conditions turn general solutions of differential equations into particular solutions and clarify what initial value problems represent.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Checking Solutions in Differential Equations

Determine whether a given equation satisfies a differential equation.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Long Division of Polynomials

Learn to set up and perform long division of polynomials in cases where synthetic division does not apply.

• YouTube
• 35 minutes
• Self-Paced
• Free Video